Computing rotation numbers in open books

Autor: Durst, Sebastian, Kegel, Marc
Rok vydání: 2018
Předmět:
Zdroj: J. G\"okova Geom. Topol. GGT 12 (2018), 71-92
Druh dokumentu: Working Paper
Popis: We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new formulas for the computation of the Thurston-Bennequin invariant of such knots and the Euler class and the d3-invariant of the underlying contact structure.
Comment: 20 pages, 7 figures; v.2: minor changes and clarifications; v.3: changed Example 1.3 and corrected the definition of Q in Algorithm 6.1
Databáze: arXiv